Finding the Third Proportional to 38,016 and 84,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,016 : 84,775.50 = 84,775.50 : x
2. Step 2: Convert to fraction form
   38,016/84,775.50 = 84,775.50/x
3. Step 3: Cross multiply
   38,016x = 84,775.50 × 84,775.50
4. Step 4: Simplify right side
   38,016x = 7,186,885,400.25
5. Step 5: Solve for x
   x = 7,186,885,400.25/38,016
6. Step 6: Final answer
   x = 189,048.96